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Finding the Third Proportional to 70,128.28 and 105,165.21

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Solution

The third proportional to 70,128.28 and 105,165.21 is: 157,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,128.28 : 105,165.21 = 105,165.21 : x
  2. Step 2: Convert to fraction form
    70,128.28/105,165.21 = 105,165.21/x
  3. Step 3: Cross multiply
    70,128.28x = 105,165.21 × 105,165.21
  4. Step 4: Simplify right side
    70,128.28x = 11,059,721,591.53
  5. Step 5: Solve for x
    x = 11,059,721,591.53/70,128.28
  6. Step 6: Final answer
    x = 157,707.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.